A study of the gauge invariant, nonlocal mass operator $Tr \int d^4x F_{μν}(D^2)^{-1} F_{μν}$ in Yang-Mills theories

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dc.creatorCapri, M. A. L.
dc.creatorDudal, D.
dc.creatorGracey, J. A.
dc.creatorLemes, V. E. R.
dc.creatorSobreiro, R. F.
dc.creatorSorella, S. P.
dc.creatorVerschelde, H.
dc.date2005-10-27
dc.date2005-10-29
dc.date.accessioned2026-07-07T11:06:15Z
dc.date.available2026-07-07T11:06:15Z
dc.descriptionThe nonlocal mass operator $Tr \int d^4x F_{μν} (D^2)^{-1} F_{μν}$ is considered in Yang-Mills theories in Euclidean space-time. It is shown that the operator $Tr \int d^4x F_{μν} (D^2)^{-1} F_{μν}$ can be cast in local form through the introduction of a set of additional fields. A local and polynomial action is thus identified. Its multiplicative renormalizability is proven by means of the algebraic renormalization in the class of linear covariant gauges. The anomalous dimensions of the fields and of the mass operator are computed at one loop order. A few remarks on the possible role of this operator for the issue of the gauge invariance of the dimension two condensates are outlined.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0510240
dc.identifierhttp://arxiv.org/abs/hep-th/0510240
dc.identifierPhys.Rev.D72:105016,2005
dc.identifierdoi:10.1103/PhysRevD.72.105016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189461
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA study of the gauge invariant, nonlocal mass operator $Tr \int d^4x F_{μν}(D^2)^{-1} F_{μν}$ in Yang-Mills theories
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